The following reactions take place at \(1500 \mathrm{~K}\) and \(10 \mathrm{bar}\) :

\[ \begin{align*} & A+B \rightarrow C+D \tag{A}\\ & A+C \rightarrow 2 E \tag{B} \end{align*} \]

where \(K_{\mathrm{A}}=2.67\) and \(K_{\mathrm{B}}=3.20\).

Determine the composition of the equilibrium mixture, assuming that the reaction mixture behaves like an ideal gas.